Explicit criteria for exponential stability of time-varying systems with infinite delay

被引：4

作者：

Pham Huu Anh Ngoc ^{[1
]}

Cao Thanh Tinh ^{[2
]}

机构：

[1] Int Univ, Vietnam Natl Univ HCMC, Dept Math, Thu Duc Dist, Saigon, Vietnam

[2] Univ Informat Technol, Vietnam Natl Univ HCMC, Dept Math, Thu Duc Dist, Saigon, Vietnam

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2016年 / 28卷 / 01期

关键词：

Linear time-varying differential systems; Infinite delay; Exponential stability; FUNCTIONAL-DIFFERENTIAL EQUATIONS; GROSSBERG NEURAL-NETWORKS; ROBUST STABILITY; NONLINEAR-SYSTEMS; POSITIVITY; EXISTENCE; RADII;

D O I：

10.1007/s00498-015-0159-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Time-varying differential systems with infinite delay are considered. Explicit criteria for global exponential stability of linear (nonlinear) systems are presented. Furthermore, an explicit robust stability bound for linear systems subject to time-varying perturbations is given. The exponential stability criteria for nonlinear systems are used to investigate exponential stability of equilibria of neural networks. Three examples are given to illustrate obtained results. To the best of our knowledge, the results of this paper are new.

引用

页码：1 / 30

页数：30

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